What is the Greatest Common Factor of 18816 and 18822?

Greatest common factor (GCF) of 18816 and 18822 is 6.

GCF(18816,18822) = 6

We will now calculate the prime factors of 18816 and 18822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18816 and 18822.

How to find the GCF of 18816 and 18822?

We will first find the prime factorization of 18816 and 18822. After we will calculate the factors of 18816 and 18822 and find the biggest common factor number .

Step-1: Prime Factorization of 18816

Prime factors of 18816 are 2, 3, 7. Prime factorization of 18816 in exponential form is:

18816 = 2⁷ × 3¹ × 7²

Step-2: Prime Factorization of 18822

Prime factors of 18822 are 2, 3, 3137. Prime factorization of 18822 in exponential form is:

18822 = 2¹ × 3¹ × 3137¹

Step-3: Factors of 18816

List of positive integer factors of 18816 that divides 18816 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 128, 147, 168, 192, 196, 224, 294, 336, 384, 392, 448, 588, 672, 784, 896, 1176, 1344, 1568, 2352, 2688, 3136, 4704, 6272, 9408

Step-4: Factors of 18822

List of positive integer factors of 18822 that divides 18816 without a remainder.

1, 2, 3, 6, 3137, 6274, 9411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18816 and 18822. The biggest common factor number is the GCF number.
So the greatest common factor 18816 and 18822 is 6.

Also check out the Least Common Multiple of 18816 and 18822